%0 Journal Article %T ON LIAPUNOV-TYPE INTEGRAL INEQUALITIES FOR EVEN ORDER DYNAMIC EQUATIONS ON TIME SCALES %A Saroj Panigrahi %J Mathematics and its Applications : Annals of the Academy of Romanian Scientists %D 2012 %I Academy of Romanian Scientists Publishing House %X In this paper, Liapunov-type integral inequalities have been obtainedfor an even order dynamic equations on time scales. As an application,an estimate for the number of zeros of an oscillatory solution and a criterion for disconjugacy of an even order dynamic equation is obtainedin an interval. %K Liapunov-type inequality %K disconjugacy %K number of zeros %K even order dynamic equations %U http://www.mathematics-and-its-applications.com/preview/iun2012/data/03_BunFinal-Panigrahi_Saroj.pdf